@Article{Varga2015,
author = "Varga, Adrienn and Vincze, Csaba",
title = "Nontrivial solutions of linear functional equations: methods and examples",
journal = "Opuscula Math.",
year = "2015",
volume = "35",
number = "6",
pages = "957--972",
doi = "http://dx.doi.org/10.7494/OpMath.2015.35.6.957",
url = "http://dx.doi.org/10.7494/OpMath.2015.35.6.957",
abstract = "For a wide class of linear functional equations the solutions are generalized polynomials. The existence of non-trivial monomial terms of the solution strongly depends on the algebraic properties of some related families of parameters. As a continuation of the previous work [A. Varga, Cs. Vincze, G. Kiss, Algebraic methods for the solution of linear functional equations, Acta Math. Hungar.] we are going to present constructive algebraic methods of the solution in some special cases. Explicit examples will be also given.",
keywords = "linear functional equations, spectral analysis, field homomorphisms",
issn = "1232-9274"
}